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Computational Methods for General Sparse Matrices

  • Book
  • © 1991

Overview

Authors:
  1. Zahari Zlatev

    1. Ministry of the Environment, National Environmental Research Institute, Roskilde, Denmark

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Part of the book series: Mathematics and Its Applications (MAIA, volume 65)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Exploiting Sparsity

    • Zahari Zlatev
    Pages 1-8

  3. Storage Schemes

    • Zahari Zlatev
    Pages 9-44

  4. General Scheme for Linear Algebraic Problems

    • Zahari Zlatev
    Pages 45-65

  5. Pivotal Strategies for Gaussian Elimination

    • Zahari Zlatev
    Pages 67-86

  6. Use of Iterative Refinement in the GE Process

    • Zahari Zlatev
    Pages 87-108

  7. Implementation of the Algorithms

    • Zahari Zlatev
    Pages 109-120

  8. Solving Least Squares Problems by Augmentation

    • Zahari Zlatev
    Pages 121-130

  9. Sparse Matrix Technique for Ordinary Differential Equations

    • Zahari Zlatev
    Pages 131-154

  10. Condition Number Estimators in a Sparse Matrix Software

    • Zahari Zlatev
    Pages 155-172

  11. Parallel Direct Solvers

    • Zahari Zlatev
    Pages 173-198

  12. Parallel Orthomin for General Sparse Matrices

    • Zahari Zlatev
    Pages 199-214

  13. Orthogonalization Methods

    • Zahari Zlatev
    Pages 215-232

  14. Two Storage Schemes for Givens Plane Rotations

    • Zahari Zlatev
    Pages 233-242

  15. Pivotal Strategies for Givens Plane Rotations

    • Zahari Zlatev
    Pages 243-258

  16. Iterative Refinement after the Plane Rotations

    • Zahari Zlatev
    Pages 259-267

  17. Preconditioned Conjugate Gradients for Givens Plane Rotations

    • Zahari Zlatev
    Pages 269-294

  18. Back Matter

    Pages 295-328
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Keywords

Authors and Affiliations

  • Ministry of the Environment, National Environmental Research Institute, Roskilde, Denmark

    Zahari Zlatev

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